Solution: The given equation is →3 x+ 5 x=10
As you can see in the above equation on left side of equation the two terms are variables and on right side of equation the term is a constant term.Also you can see there is an operation called addition between the two variables on left side of equation.
In option (A), there is only a single term on right as well as left,so this can't be true.
In option (B), there is a constant and variable on left side of equation.So this is also untrue.
In option (C), variable being divided by numerator, so this is also untrue.
Option (D)3 x - 2 x = 10, is surely correct , because there are two variables on left side of equation and one constant on right side of equation, and there is an operation called subtraction between them .
Angle MON is a straight angle and OP -> bisects <MOQ
What is the measure of <MOP?
it would be 61 degrees
I hope this helps.
Answer:
that all persons held as slaves" within the rebellious states "are, and henceforward shall be free."
Answer:
Step-by-step explanation:
Given
See attachment for figure


Required
The scale factor (k)
Since point C is the center of dilation, the scale factor (k) is calculated using:

So, we have:



The valid conclusions for the manager based on the considered test is given by: Option
<h3>When do we perform one sample z-test?</h3>
One sample z-test is performed if the sample size is large enough (n > 30) and we want to know if the sample comes from the specific population.
For this case, we're specified that:
- Population mean =
= $150 - Population standard deviation =
= $30.20 - Sample mean =
= $160 - Sample size = n = 40 > 30
- Level of significance =
= 2.5% = 0.025 - We want to determine if the average customer spends more in his store than the national average.
Forming hypotheses:
- Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get:

- Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically

where
is the hypothesized population mean of the money his customer spends in his store.
The z-test statistic we get is:

The test is single tailed, (right tailed).
The critical value of z at level of significance 0.025 is 1.96
Since we've got 2.904 > 1.96, so we reject the null hypothesis.
(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).
Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.
Learn more about one-sample z-test here:
brainly.com/question/21477856